含非贯穿直裂纹管道的振动特性分析

摘 要：根据线性断裂力学理论和应变能释放原理，推导了管道在轴力、剪力和弯矩等荷载作用下由非贯穿直裂纹引入的附加局部柔度，利用适应性Simpson数值积分编写了局部柔度计算程序，克服了当前方法仅针对特定的荷载模式或非空心截面的缺陷，通过与Naniwadekar等人试验结果进行对比验证本文局部柔度系数的合理性。建立了裂纹管结构的有限元模型，对悬臂裂纹管和简支裂纹管的自由振动特性进行了分析。研究结果表明：裂纹位置、裂纹深度对裂纹管类结构的自振频率影响明显。

Vibration analysis and crack identification of a cantilever pipe with a circumferential part-through crack

The local flexibility coefficient equations of a pipe with a straight front and part-through-the-thickness crack subjected to axial force,shearing force and bending moment were derived by using theories of linear fracture mechanics and strain energy release principle.An adaptive Simpson quadrature revised was used to perform the numerical integration to obtain the flexibility coefficients.A finite element model for cracked pipes was established to conduct vibration analysis of a cracked cantilever pipe.In a...